Dipole polarizabilities of the 1, 2¹S and 2³S states of the helium sequence

Abstract

The dipole polarizabilities of the 1, 21S and 23S states of helium-like ions (2<or=Z<or=10) are calculated through a variation-perturbation approach. The polarized wavefunctions are constructed by using selecting B-spline basis functions in a CI scheme. The values of alpha d are converged to an accuracy of at least 0.01% and are in excellent agreement with those obtained from explicitly correlated wavefunctions and with experiment (Leonard and Barker, 1975).

Polarizabilities of confined two-electron systems: the 2-electron quantum dot, the hydrogen anion, the helium atom and the lithium cation

“…This is in good agreement with the published value of 1.38319 au from configuration-interaction calculations by Johnson and Cheng [47]. Some other results are 1.38332 au by Chen [48] and 1:38324101380 AE 10 au by Bhatia and Drachman [52]. The present polarizability for the helium atom agrees very well also with the experimental value of 1.384 au published by Leonard and Baker [51].…”

“…The value calculated with the largest 20s11p10d static basis set is 0.1921 au. This should be compared with the values published for the polarizability of the Li þ which are 0.19250 au [48] and 0.19245 au [47]. Good agreement also has been reached with the highly accurate value of the polarizability of ¼ 0.19245 au of Drachman and Bhatia [50].…”

On the properties of charged and neutral, atomic and molecular helium species in helium nanodroplets: interpreting recent experiments

“…Even more sensitive to the number of diffuse functions is the polarisability of He * , for which the minimal level of basis set size turns out to be t-aug-cc-pVDZ. This provides a value of 47.86 Å 3 , which represents 102.3% of the 46.77 Å 3 found in earlier studies [25]. The polarisability of He * turns out to be rather insensitive to the number of polarisation functions.…”

Tune-out wavelengths for metastable helium

“…The hybrid calculation [35] 1972 315.608 CI B spline [36] 1995 315.63 Hylleraas [37] 1998 315.631 468(12) Experiment [38] 1977 301(20) Experiment [39,40] 1995 322 (6.8) gives a dipole polarizability of 315.462 a 3 0 for the He(1s2s 3 S e ) state. This is about 0.05% smaller than the listed Hylleraas calculations, which give 315.63 a 3 0 for the polarizability.…”